Question

# On a certain rate of interest a sum of Rs. 5000 becomes Rs. 16,200 in certain years at compound interest. In half of the time given, this sum will become?

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Hint: We are provided with the two amounts one is the sum of beginning and the other is the compound interest at the end of a particular time period. Since we have to find the sum at half the time therefore both the time periods are equal. Taking the ratio of sum and the time we can find the sum at half time period.

$\Rightarrow$$\dfrac{{5000}}{x} = \dfrac{x}{{16,200}}$
$\Rightarrow$${x^2} = 5000 \times 16,200$
$\Rightarrow$$x = \sqrt {5000 \times 16,200}$
$\Rightarrow$$x = 9000$